Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 17, Issue 1, Pages 356-366Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2011.04.024
Keywords
Fractional-order derivative; General fractional-order chaotic system; Sliding mode control; Chaos
Categories
Funding
- National Basic Research Program of China [2010CB732501]
- National Natural Science Foundation of China [NSFC-60873102]
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In this paper, a sliding mode control law is designed to control chaos in a class of fractional-order chaotic systems. A class of unknown fractional-order systems is introduced. Based on the sliding mode control method, the states of the fractional-order system have been stabled, even if the system with uncertainty is in the presence of external disturbance. In addition, chaos control is implemented in the fractional-order Chen system, the fractional-order Lorenz system, and the same to the fractional-order financial system by utilizing this method. Effectiveness of the proposed control scheme is illustrated through numerical simulations. (C) 2011 Elsevier B.V. All rights reserved.
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